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481189896 = 233411217192
BaseRepresentation
bin11100101011100…
…110000000001000
31020112102222110000
4130223212000020
51441141034041
6115425323000
714632021665
oct3453460010
91215388400
10481189896
1122768a100
12115196460
13788ca465
1447c9aa6c
152c39ebb6
hex1cae6008

481189896 has 360 divisors, whose sum is σ = 1655486910. Its totient is φ = 130014720.

The previous prime is 481189889. The next prime is 481189897. The reversal of 481189896 is 698981184.

481189896 is a `hidden beast` number, since 481 + 1 + 89 + 89 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 353816100 + 127373796 = 18810^2 + 11286^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481189897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 25325775 + ... + 25325793.

Almost surely, 2481189896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481189896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827743455).

481189896 is an abundant number, since it is smaller than the sum of its proper divisors (1174297014).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

481189896 is a wasteful number, since it uses less digits than its factorization.

481189896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 52 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 481189896 is about 21936.0410284080. The cubic root of 481189896 is about 783.6199784310.

The spelling of 481189896 in words is "four hundred eighty-one million, one hundred eighty-nine thousand, eight hundred ninety-six".